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Yatin Tariyal - EMI

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Affiliation No.

1730992

Session: 2023-2024
A

INVESTIGATORY PROJECT

REPORT

ON
“To determine the Faraday’s law of electromagnetic induction using a
copper wire wound over an iron rod and a strong magnet.”

Submitted To:- Submitted By:-


MR. DEEPAK KR. SHARMA YATIN TARIYAL
DEPARTMENT OF PHYSICS CLASS: XII-A
AIS, JAIPUR, ROLL NO.: 11665606

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DEPARTMENT OF PHYSICS,
AIS, JAIPUR (RAJ.)

CERTIFICATE
This is to certify that YATIN TARIYAL bearing Roll Number 11665606 is a
student of Class XII-A. She has successfully completed her Physics
Investigatory project titled “To determine the Faraday’s law of
electromagnetic induction using a copper wire wound over an iron rod and
a strong magnet.” as per the guidelines of Central Board of Secondary
Education for the academic year 2023-2024.

It is further certified that this project is the individual and bonafide work of the
candidate.

Signature of Physics Teacher : ______________

Signature of External Examiner: ______________

Signature of Principal : ______________

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ACKNOWLEDGEMENT

It gives me immense pleasure to present the Project on “To determine the


Faraday’s law of electromagnetic induction using a copper wire wound
over an iron rod and a strong magnet.” I would like to express my gratitude
towards my I express my special gratitude to my principal, Ms. Karuna Nagpal
for allowing me to do this project.

I give my special thanks to my Physics Teacher Mr. Deepak Kumar Sharma


for helping me in every regard. Under whose guidance and constant Supervision
the project has been completed. The instruction and Suggestions given by him
have been a major contributor forwards the completion of the project.

At the same time, I am very thankful to my parents who provided all necessary
things and my friends helping me a lot. I am thankful to CBSE for giving me
this opportunity.

Overall, without the support of all these people this project could not be
successful.

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Table of Contents
CERTIFICATE ..................................................................................... 2

ACKNOWLEDGEMENT .................................................................. 3

INTRODUCTION ............................................................................... 5

Faraday’s Law of Electromagnetic Induction ............................... 5

EXPERIMENTAL ANALYSIS: ............................................................... 7

OBJECTIVE ......................................................................................... 7

APPARATUS REQUIRED -:............................................................... 7

THEORY.............................................................................................. 7

CONCLUSION ................................................................................... 11

Bibliography ...................................................................................... 12

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INTRODUCTION
Faraday’s Law of Electromagnetic Induction

It is a basic law of electromagnetism predicting how a magnetic field


will interact with an electric circuit to produce an electromotive force
(EMF). It is the fundamental operating principle of transformers,
inductors and many types of electrical motors and generators. Faraday
explained electromagnetic induction using the concept of lines of force.
These equations for electromagnetic induction are extremely important
since they provide a means to precisely describe how, many natural
physical phenomena in our universe and behave.

The ability to quantitatively describe physical phenomena not only


allows us to gain a better understanding of our universe, but it also
makes possible a host of technological innovations that define modern
society. Understanding Faraday’s laws of electromagnetic induction
can be beneficial since so many aspects of our daily life function
because of the principles behind Faraday’s law. From natural
phenomena, such as the light we receive from the sun, to technologies
that improve our quality of life, such as electric power generation,
Faraday’s law has a great impact on many aspects of our lives.

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Magnetic Field Inside a Solenoid Electromagnetic Induction

Faraday’s law describes electromagnetic induction. Whereby an


electric field is induced, or generated by a changing magnetic field.

In Faraday’s first experimental demonstration of electromagnetic


induction, he wrapped two wires around opposite sides of an iron ring
or ‘torus’ to induce current. Faraday’s law is a single equation
describing two different phenomena: the motional EMF generated by a
magnetic force on a moving wire, and the transformer EMF generated
by an electric force due to a changing magnetic field.

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EXPERIMENTAL ANALYSIS:
OBJECTIVE

To determine the Faraday’s law of electromagnetic induction using a


copper wire wound over an iron rod and a strong magnet.

APPARATUS REQUIRED -:

 Insulated Copper wire An iron rod

 A strong magnet A draw board for base/platform


 A light emitting Diode (LED)

THEORY

The magnetic flux (B) through a surface is the component of the


magnetic field passing through the surface. The SI unit of magnetic
flux is weber (Wb), and the COGS unit is , Maxwell.

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Magnetic flux is usually measured with a flux meter, which
contains measuring coils and electronics that evaluate the change
of voltage in the measuring coils to calculate the
magnetic flux. If the magnetic field is constant, the magnetic flux
passing through a surface of vector area S is

Where is the magnitude of magnetic field having the unit of


Wb/m2(T). is the area of the surface and is the angle between
magnetic field lines and the normal. For a varying
magnetic field, we first consider the magnetic flux through a small
amount of area where we may consider the magnetic field to be
constant.

From the magnetic vector potential and the fundamental theorem of


the curl, the magnetic field may be defined as

where the line integral is taken over the boundary of the


surface, which is denoted as

LAW

The most widespread version of Faraday’s law of electromagnetic


induction states that

“The induced electromotive force in any closed surface is equal to


the negative of the rate of change of magnetic flux through the
circuit.”

This version of Faraday’s law strictly holds true only when the closed
circuit is a loop of infinitely thin wire, and is invalid in other
circumstances as discussed below.
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A different version, the Maxwell-Faraday equation is valid in all
circumstances.

The magnetic flux changes due to the change in magnetic field.


Faraday’s law of electromagnetic induction states that the
wire loop acquires an EMF, defined as the energy available per unit
charge that travels once around the wire loop.

Equivalently, it is the voltage that would be measured by cutting the


wire to create an open circuit.
And attaching a voltmeter to the leads. According
to Lorentz force law,

And the EMF of the wire loop is

The Maxwell-Faraday equation states that a time varying magnetic


field is always accompanied by spatially varying, non- conservative
electric field and vice versa.

The Maxwell-Faraday equation is

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CONCLUSION

Faraday’s law of electromagnetic induction, first observed and published


by Michael Faraday in the mid nineteenth century, describes a very
important electromagnetic concept.

Although its mathematical representations are cryptic, the essence of


Faraday’s law is not hard to grasp. It relates an induced electric potential
or voltage to a dynamic magnetic field.

This concept has many far reaching ramifications that touch our
lives in many ways: from shining of the sun to electricity and power
in our homes.

We can all appreciate the profound impact Faraday’s law has on us.

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Bibliography

 Board, C. (2023). Physics Curriculum for Class XII. Central


Board of Secondary Education (CBSE).

 Halliday, D., Resnick, R., & Walker, J. (2014). Fundamentals


of Physics (10th ed.). John Wiley & Sons.

 www.hyperphysics.com

 www.physics.stackexchange.com

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